\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{4}{x+y}+6\sqrt{x-2}=14\\\dfrac{5}{x+y}-2\sqrt{x-2}=-1+\dfrac{5}{2}=\dfrac{3}{2}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x+y=\dfrac{37}{38}\\x-2=\left(\dfrac{32}{19}\right)^2\end{matrix}\right.\)=>x=1746/361; y=-2789/722
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